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Finding the Third Proportional to 15,384.94 and 24,869.53

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Solution

The third proportional to 15,384.94 and 24,869.53 is: 40,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.94 : 24,869.53 = 24,869.53 : x
  2. Step 2: Convert to fraction form
    15,384.94/24,869.53 = 24,869.53/x
  3. Step 3: Cross multiply
    15,384.94x = 24,869.53 × 24,869.53
  4. Step 4: Simplify right side
    15,384.94x = 618,493,584.59
  5. Step 5: Solve for x
    x = 618,493,584.59/15,384.94
  6. Step 6: Final answer
    x = 40,201.24

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.